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IssuesArchive of Issues2008-2pp.180-191

Archive of Issues

Total articles in the database: 1813
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Yu.Yu. Bagderina, "Rational solutions of fifth-order evolutionary equations for describing waves on water," J. Appl. Math. Mech. 72 (2), 180-191 (2008)
Year 2008 Volume 72 Issue 2 Pages 180-191
Title Rational solutions of fifth-order evolutionary equations for describing waves on water
Author(s) Yu.Yu. Bagderina (Ufa, Russia, yulya@mail.rb.ru)
Abstract A method is proposed for obtaining the exact solutions of evolutionary equations in the form of a rational function. Invariant manifolds of the equations are used which have the same form of dependence on the required function and its derivatives as the generalized Riccati equations. Using fifth-order Kawahara and Korteweg-de Vries equations as an example, it is shown that their known particular solutions can be obtained using this method. New solutions of a non-linear fifth-order equation, which is encountered when describing long waves on water, are obtained.
Received 13 September 2006
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
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